“I’ve been hearing a lot of things: ‘Oh the wall didn’t make that much of a difference.’ You know where it made a big difference? Right here in El Paso.”

False.

Mr. Trump is repeating his widely debunked claim made in his State of the Union address that El Paso transformed from “one of the most dangerous cities” into one of the safest cities in the United States after the construction of barriers at the border.

El Paso was never one of the most dangerous cities in the country. It has had a consistently lower crime rate than the average among more than 20 similarly sized cities, according to data from the Federal Bureau of Investigation. In that group, El Paso reported the second-lowest violent crime rate in 2008 — before the construction of border fencing. And after the barrier was completed, it held the rank while the violent crime rate did not change considerably.

“I don’t care if the mayor is a Democrat or a Republican, they are full of crap when they say the border barrier didn’t help lower the crime rate,” Mr. Trump said, again adding falsely, “It didn’t stay the same. It went way down.”

This is disputed.

Before Mr. Trump took the stage, lawmakers in Washington reached a tentative deal on border security that included funding for physical barriers at the border and the reduction of detention space for migrants.

Democrats had sought to limit the number of detention beds under the control of Immigration and Customs Enforcement, arguing that limiting the beds would force the agency to prioritize migrants with serious criminal records. Matt Albence, the deputy director of ICE, said a reduction in the number of beds would mean the release of criminals.

Whether or not ICE would be forced to released hardened criminals is a prediction that cannot be fact checked, but available data suggests that most immigrants in detention have not committed serious crimes. Records obtained by the Transactional Records Access Clearinghouse at Syracuse University show that in June 2018, for example, ICE held more than 44,000 migrants in detention facilities across the country. Of these migrants, 58 percent had no criminal conviction and 21 percent had committed minor offenses such as traffic violations or illegal entry while 18 percent had been convicted of serious crimes.

ICE has disputed that breakdown but used a broader measure for its figures: The agency said 54 percent of detained immigrants had criminal records or faced pending charges, though it did not specify what crimes they were accused of committing.

What was said

“So we have, let’s say, 35,000 people tonight and he has 200 people, 300 people, not too good.”

This is exaggerated.

A spokesman with the fire department told the El Paso Times that the arena Mr. Trump spoke at was filled to capacity at 6,500 people. Thousands more watched the rally outside, with a possible total attendance of 10,000, the spokesman said, noting that the department did not officially estimate the crowd outside.

Estimates for Mr. O’Rourke’s crowd have been far higher than 200 or 300, ranging from 7,000 to 15,000.

This is misleading.

Several Democrats have introduced proposals to increase taxes, but unless the 6,500 people in the room were all among the wealthiest Americans, they would not be affected by these proposed tax hikes.

Representative Alexandria Ocasio Cortez of New York, suggested a top marginal tax rate of 60 or 70 percent incomes over $10 million. Senator Elizabeth Warren of Massachusetts, who is running for president, has proposed a wealth tax of 2 percent on people with a net worth above $50 million and 3 percent over $1 billion. And Senator Bernie Sanders of Vermont proposed an a top estate tax rate of 77 percent on inheritances over $1 billion.

“I really don’t like their policy of taking away your car, of taking away your airplane flights, of let’s hop a train to California, of you’re not allowed to own cows anymore.”

This is exaggerated.

Mr. Trump was referring to the Green New Deal, a proposal to combat climate change released by Ms. Ocasio-Cortez and Senator Edward J. Markey of Massachusetts.

In its current form, the plan is a broad outline, introduced as a nonbinding congressional resolution, and proposes projects like expanding renewable power sources, upgrading energy grids and buildings, working with farmers and ranchers to reform the agricultural sector, and investing in clean transportation and high speed rail. The legislation emphasizes that it intends to meet these goals “as much as is technologically feasible.”

Though the Green New Deal would significantly alter the transportation and agriculture sectors, it does not call for the elimination of cars, airplanes or cows.

Outside the text of the legislation, however, a blog post on Ms. Ocasio Cortez’s website describing the plan did note, “The Green New Deal sets a goal to get to net-zero, rather than zero emissions, at the end of this 10-year plan because we aren’t sure that we will be able to fully get rid of, for example, emissions from cows or air travel before then.”

“You can keep your doctor — remember that? Twenty-eight times, that didn’t happen. Turned out to be a lie. Hey, where are the fact checkers?”

This is misleading.

When President Barack Obama encouraged lawmakers to pass the Affordable Care Act during his first term, he repeatedly promised that consumers would be able to keep their doctor or health care plan under the new insurance system.

Contrary to Mr. Trump’s suggestions, fact checkers and news outlets have called out Mr. Obama for failing to fulfill that pledge. The Washington Post noted in 2009 that the claim “would not necessarily be true.” Factcheck.org wrote in 2009 that the promise would not apply to everyone. PolitiFact awarded Mr. Obama its Lie of the Year, its annual selection of the most egregious falsehood, in 2013. And The New York Times called it a “broken promise” in a 2013 article on the front page.

OTHER CLAIMS

In addition, Mr. Trump repeated at least eight other claims The New York Times has previously checked: